{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "76ef4f82-97c0-4c2f-a828-33bc0e6217fe",
   "metadata": {},
   "source": [
    "Chapter 13\n",
    "# 绘制十二面体图，图着色问题\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a1138173-5c2b-4ce4-ae25-80f8feafaed8",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "998297d0-ed05-4f95-bed9-323920733fb5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建十二面体图\n",
    "G = nx.dodecahedral_graph()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a922d7be-6d27-451e-89e1-8ddad301776b",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 贪心着色算法\n",
    "graph_color_code = nx.greedy_color(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "8f50e87b-9d27-47bb-8028-9c1da24ea9cb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0: 0,\n",
       " 1: 1,\n",
       " 2: 0,\n",
       " 3: 1,\n",
       " 4: 0,\n",
       " 5: 1,\n",
       " 6: 2,\n",
       " 7: 0,\n",
       " 8: 2,\n",
       " 9: 0,\n",
       " 10: 1,\n",
       " 11: 0,\n",
       " 12: 1,\n",
       " 13: 2,\n",
       " 14: 1,\n",
       " 15: 0,\n",
       " 16: 2,\n",
       " 17: 1,\n",
       " 18: 2,\n",
       " 19: 3}"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "graph_color_code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a446294a-a4e3-4942-8ba0-77cfa1bd9412",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 独特颜色，{0, 1, 2, 3}\n",
    "unique_colors = set(graph_color_code.values())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "6b1dcedf-abb1-4689-a65d-6a693ba838fe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0, 1, 2, 3}"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "unique_colors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "39567209-64da-4675-a3de-6b27465be2a2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 颜色映射\n",
    "color_mapping = {0: '#0099FF', \n",
    "                 1: '#FF6600', \n",
    "                 2: '#99FF33', \n",
    "                 3: '#FF99FF'}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9cda6294-75aa-4285-be76-34fc0b7b86bb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 完成每个节点的颜色映射\n",
    "node_colors = [color_mapping[graph_color_code[n]] \n",
    "               for n in G.nodes()]\n",
    "\n",
    "# 节点位置布置\n",
    "pos = nx.spring_layout(G, seed=14)\n",
    "\n",
    "# 可视化\n",
    "fig, ax = plt.subplots(figsize = (6,6))\n",
    "nx.draw_networkx(\n",
    "    G,\n",
    "    pos,\n",
    "    with_labels=True,\n",
    "    node_size=500,\n",
    "    node_color=node_colors,\n",
    "    edge_color=\"grey\",\n",
    "    font_size=12,\n",
    "    font_color=\"#333333\",\n",
    "    width=2,\n",
    ")\n",
    "plt.savefig('十二面体图，着色问题.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "931f7f04-0361-4958-aeab-88e5c3753034",
   "metadata": {},
   "source": [
    "参考：\n",
    "https://networkx.org/documentation/stable/auto_examples/algorithms/plot_greedy_coloring.html"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
